Step 1 of 2
Multiply both sides of the inequality by the given constant. Leave the inequality symbol alone at first.
Multiply both sides of the inequality x>7 by -2. Multiplying x by -2 results in -2x. Multiplying 7 by -2 results in
the following.
-2-x?7--2
-2x ?
Notice that the "greater than" symbol is temporarily replaced by a question mark. This is examined in the next step.
. The inequality then becomes

Answer:

The first graph

Step-by-step explanation:

If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.

The correct option that indicates the quadrant that contains the translation of the shaded figure is the option B

B. III

A translation is a transformation in which the size, relative position of the points on the pre-image, are preserved but the location of the pre-image changes to obtain the image.

The shape of the shaded figure is an L-shape

The geometric figure in quadrant II and IV are a reflection of the shaded figure, across the y-axis and across the x-axis, respectively which is not a translation transformation.

The geometric figure in quadrant III can be obtained from the shaded figure by a translation 4 units to the left and 5 units downwards, which can be expressed as <-4, -5>, which is a translation transformation, therefore;

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The length of the hypotenuse of the triangle is b = x√2 units

Given data ,

Let the triangle be represented as ΔABC

And , the triangle is a 45 - 45 - 90 triangle

So , the two legs are congruent to one another and the non-right angles are both equal to 45 degrees

And , the sides are in the proportion x : x : x√2

Now , the length of the sides of the triangle are

The measure of base BC = a units = x

The measure of height AB = c units = x

So , the measure of the hypotenuse of the triangle is = x√2 units

Hence , the triangle is solved and hypotenuse AC = x√2 units

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The graph with the same end behavior is the one in option C.

The given function has a numerator with a negative leading coefficient and an odd degree, while the denominator is a quadratic polynomial.

It will mean that as x tends to negative infinity, the function tends to infinity, and as x tends to positive infinity, the function tends to negative infinty, that is the end behavior of the given function.

The graph with that end behavior is the same one than in option C.

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Answer:

$15.69

Step-by-step explanation:

multiply the retail price by 1.06 to get the price after taxes.

find the discounted price by multiplying the price after taxes(19.61) by 0.8 since it is 20% off to get the answer

The exponential equation that represents the relationship between the air pressure and the elevation above the Earth's surface is

y = 14.7 x 0.827^x

The air pressure at the top of Mount Everest, elevation 29,000 feet is approximately 1.931 psi

To write an exponential equation for the relationship between the air pressure and the elevation above the Earth's surface, we can use the form y = a x b^x,

where y is the air pressure,

x is the elevation,

and a and b are constants.

We can use the data given in the problem to find the values of a and b.

Let y = air pressure (psi)

x = elevation (feet)

We know that at sea level (x = 0), y = 14.7 psi

At Denver, Colorado, elevation 5280 feet, y = 12.15 psi

We can use these two points to find the values of a and b in the equation y = a x b^x

12.15 = 14.7 x b^5280

b = (12.15/14.7)^(1/5280)

b = 0.827

a = 14.7

The exponential equation that represents the relationship between the air pressure and the elevation above the Earth's surface is

y = 14.7 x 0.827^x

b.) To find the air pressure at the top of Mount Everest, elevation 29,000 feet, we can substitute that value for x into the exponential equation.

y = 14.7 x  0.827^29000

y = 1.931 psi

The air pressure at the top of Mount Everest, elevation 29,000 feet is approximately 1.931 psi. It's worth noting that this is a very low air pressure and the human body is not able to survive with such low pressure without proper equipment.

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According to the information, we can infer that the area of this polygon is 34 units².

To find the area of the figure we must graph it and divide it into different segments. Then we find the area of all the segments and add them to get the total area.

Rectangle 1

6 * 3 = 18

Rectangle 2

2*4=8

Triangle 1

2 * 4 / 2 = 4

Triangle 2

2 * 4 / 2 = 4

Total Area

18 + 8 + 4 + 4 = 34

Based on the above, we can infer that the total area of the polygon is 34 ² units.

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Answer:

Answer:

The most basic question I have ever seen lol

XY = 9*3 = 27

Formula for Profit Percentage = (Profit/C.P.) 100Where C.P. denotes the article's cost price, i.e. the price at which the article was originally purchased.

Jane bought a car for £24000

 she sold it for £26000

profit = 2000

profit percentage = 2000/26000 x100 = 7.7%

Here,

Jane bought a car for £24000

 she sold it for £26000

profit = 2000

profit percentage = 2000/26000 x100 = 7.69%

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The given procedure results as not binomial and cannot be treated as binomial. It is not binomial because the probability of success does not remain the same in all trials. The correct answer is option B.

Binomial distribution compiles the number of trials, or observations when each trial has the same probability of attaining one particular value. Binomial distribution controls the probability of observing a specified number of successful outcomes in a specified number of trials.

In a binomial distribution, the probability of getting a success have to remain the same for the trials we are investigating. For example, when tossing a coin, the probability of flipping a coin is half or 0.5 for every trial we conduct, because there are only two possible outcomes.

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Answer: 4x-4 is the correct answer

Step-by-step explanation that is the correct answer

Answer:

\( \frac{6}{x} = 7 - 2x \\ 6 = 7x - 2 {x}^{2} \\ 2{x}^{2} - 7x + 6 = 0\)

Answer:

The base = 24 in

The height = 16 in

Steps:

x(x-8)/2 = 192

(x²-8x)/2 = 192

x²-8x = 192 × 2

x²-8x = 384

x²-8x-384 = 0

by using the quadratic formula, the roots are: (24, -16)

hence

x = 24

The base = 24 in

The height = 16 in

The median of the given data set is 26.

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

Given the data set, we need to find the median.

So, let's arrange the numbers from smallest to largest in order to find the median.

\(\sf 15,20,22,26,28,35,36.\)

\(\text{Median}=\sf 26\)

Therefore, the median of the data set is 26.

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Answer:

  one solution: (1, 4)

Step-by-step explanation:

You want the graphs and number of solutions to the system of equations ...

The graph is attached. The first equation has a y-intercept of +1 and a slope of 3. The second equation has a y-intercept of +2 and a slope of 2.

The different slopes mean there is exactly one solution. The graph shows that solution to be (x, y) = (1, 4).

__

Additional comment

The slope is the x-coefficient when the equations are written in this "slope-intercept" form. It is the "rise/run" for the line on the graph. A slope of 3, for example, means the line has a rise of 3 grid squares for a run of 1 square (to the right). Knowing the y-intercept and slope makes it easy to graph the line.

The equation of the line in the slope-intercept form is: y = -2.00 x + 10.

The slope and provided point are both in the equation for the straight line.

The generic point (x, y) must satisfy the equation if we have a non-vertical land in a that passes through any point(x1, y1) has gradient m.

y-y₁ = m(x-x₁)

It is the necessary equation for a line in the form of a point-slope.

That gift card to the Coffee Café has been provided. = $10

Medium coffee = $2.00

customers

The quantity of coffees a consumer can purchase can be represented using a linear equation.

Slope formula

m = (8 - 10)/(1 - 0)

m = -2

Now consider the line's point-slope shape.

y-y₁ = m(x-x₁)

( y - 10) = -2.00 ( x - 0)

y = -2.00 x + 10

The slope: m = - 2.00

The equation of the line: y = -2.00 x + 10

The y-intercept is 10

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Answer:

15

proof on pic......................

Answer: 35log4x

Step-by-step explanation:

Answer:

do 15x 40 and the 15x10

Step-by-step explanation:

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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ANSWER:

x = 4 and x = -4

STEP-BY-STEP EXPLANATION:

We have the following function:

We solve the values of x for when the function is equal to 0, as follows:

Answer:

24 : 15 : 20

Step-by-step explanation:

express ratios in fractional form and express b and c in terms of a

\(\frac{a}{b}\) = \(\frac{8}{5}\) ( cross- multiply )

8b = 5a ( divide both sides by 8 )

b = \(\frac{5}{8}\) a

also

\(\frac{b}{c}\) = \(\frac{3}{4}\) ( cross- multiply )

3c = 4b ( divide both sides by 3 )

c = \(\frac{4}{3}\) b = \(\frac{4}{3}\) × \(\frac{5}{8}\) a = \(\frac{5}{6}\) a

Then

a : b : c

= a : \(\frac{5}{8}\) a : \(\frac{5}{6}\) a ( multiply each part by 24, the LCM of 8 and 6 )

= 24a : 15a : 20a ( divide each part by a )

= 24 : 15 : 20 ← in simplest form

Answer:

m<1 = 114°

Step-by-step explanation:

straight line = 180°

180° = 66° + n

n = 114

m<1 = 114°

m<2 = 66°

m<3 = 114°

The value of x in the similar triangle is 6 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Therefore, let's use the similarity ratio to find the value of x in the similar triangle as follows:

Hence,

5 / 40 = x / 48

48 × 5 = 40x

240 = 40x

divide both sides by 40

x = 240 / 40

x = 6

Therefore,

x = 6

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For the function  f(x) = 2x + 3 the third iterate x₃  is 37

To find the third iterate, x3, of the function f(x) = 2x + 3, given an initial value of x₀ = 2,

we can apply the function repeatedly.

Starting with x₀ = 2:

x₁ = f(x₀)

= 2(2) + 3

= 7

x₂ = f(x₁)

= 2(7) + 3 = 17

x₃ = f(x₂)

= 2(17) + 3

= 37

Therefore, the third iterate x₃  is 37.

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Answer:

x = 65

Explanation:

A whole circle equals 360*

half of that is 180*

180 - 115 = 65